ToolHuts

Practical tools for measured work

Room Mode & Standing Wave Calculator

Enumerate axial, tangential and oblique room resonances and inspect close low-frequency clusters.

m
m
m
Hz
1,0,0 axial31.2Hz
0,1,0 axial40.8Hz
1,1,0 tangential51.4Hz
2,0,0 axial62.4Hz
0,0,1 axial63.5Hz
1,0,1 tangential70.8Hz
2,1,0 tangential74.5Hz
0,1,1 tangential75.5Hz
Modes below 200 Hz70
Adjacent pairs under 2 Hz43

Red lines are axial modes, blue tangential, and grey oblique. Closely spaced modes can reinforce one another, but room response also depends on boundaries and placement.

How it works

How to use it: enter internal room dimensions and the mode order to enumerate. The chart sorts every axial, tangential and oblique resonance below your chosen frequency ceiling.

Formula. f = c/2 x sqrt((n/L)^2 + (m/W)^2 + (p/H)^2), using 343 m/s for sound speed. One non-zero index is axial, two tangential and three oblique.

Example. A 5.5 m room has its first length axial mode near 343/(2 x 5.5) = 31.2 Hz.

Current-input example

The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.

Room length
5.5 m
Room width
4.2 m
Room height
2.7 m
Mode order
4
Chart maximum
200 Hz

Primary result: 1,0,0 axial: 31.2 Hz.

Before using the result

  • Measure from the datum or reference edge described by this tool, and do not mix inside, outside and centerline dimensions.
  • Keep inputs in the displayed units and preserve more precision than the final cutting or purchasing tolerance requires.
  • When the result is close to a limit, verify it with a test piece, field measurement, manufacturer drawing or qualified project professional.

Limitations

Rectangular rigid-boundary theory predicts modal frequencies, not exact peak/null severity. Openings, wall flex, furnishings, temperature, source/listener placement and damping change measured response. Verify with room measurements before buying treatment.

Frequently asked questions

Are axial modes most important?

They involve one room dimension and are often stronger, but tangential and oblique modes still contribute to the measured response.